Home
Class 12
MATHS
If p,q and r simple propositions with tr...

If p,q and r simple propositions with truth values T, F, T, then the truth value of `(~p vv q) ^^ ~ q to p` is

A

True

B

False

C

True if r is false

D

true if q is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder|60 Videos

  • LINEAR INEQUALITIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If p,q,r are single proposition with truth values T, F, F, then the truth value of (p ^^ ~ q) to (~p vv r) is

If p,q and r are simple propositions with truth values T,F and T , respectively, then the truth value of (~pvvq) ^^~r to p is

If p,q,r are simple statement with truth values T,F,T respectively then the truth value of ((-p vv q)^^r)rarr p is : (a) True (b) False (c) True if r is false (d) True if q is true

If truth values of p vv q is ture,then truth value of ~ p ^^ q is

Let truth values of p be F and q be T. then , truth vlaue of ~(~p v q) is

If truth values of p and q are T , F then truth value of -p to (p ^^ - q) is -

If p, q,r are the statements with truth values T, F, T respectively then find the truth value of (r^^q ) harr (~p)

If p and q have truth value 'F', then the truth values of (~ p vv q) harr ~(p ^^ q) and p harr (p to ~q) are respectively

If p, q, r are statement with truth vales F, T, F respectively. Then the truth value of p rarr (q rarr r) is

If p, q, r are substatements with truth values T, T, F then the Statemetn r to (p^^~q) vv (~q^^~r) will be

DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-2 : Concept Applicator
  1. Consider the statement p: 'New Delhi is a city'. Which of the followin...

    Text Solution

    |

  2. Write the negation of statement sqrt(2) is not a complex number.

    Text Solution

    |

  3. Which of the following statement is a contradiction: (1)(~p vv ~q) v...

    Text Solution

    |

  4. If p,q and r simple propositions with truth values T, F, T, then the t...

    Text Solution

    |

  5. Consider the following Statements p : A tumbler is half empty. A tum...

    Text Solution

    |

  6. The contrapositive of (p vv q)to r is

    Text Solution

    |

  7. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

    Text Solution

    |

  8. ~(~p^^q), "is equal to"

    Text Solution

    |

  9. The contrapositive of inverse of p to ~ q is

    Text Solution

    |

  10. Identify the False statements

    Text Solution

    |

  11. If p rArr (q vee r) is false, then the truth values of p, q, r ar...

    Text Solution

    |

  12. Let p: Kiran passed the examination, q: Kiran is sad The symbolic ...

    Text Solution

    |

  13. If p denotes "It is cold" and q denote "It rains" , write the statemen...

    Text Solution

    |

  14. Which of the following is true?

    Text Solution

    |

  15. The proposition (p to ~p) ^^ (~p to p) is a

    Text Solution

    |

  16. Consider the following statements - p : 4 is an even prime number ...

    Text Solution

    |

  17. If p, q are true and r is false statement then which of the following ...

    Text Solution

    |

  18. Which of the following statement is a contradiction: (1)(~p vv ~q) v...

    Text Solution

    |

  19. If ~q vv pis F, then which of the following is correct?

    Text Solution

    |

  20. If p and q are true statement and r, s are false statement, then the t...

    Text Solution

    |